Question

Which of the following represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2?

Answer 1

Correct answer A) x+4y=8  ,  represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .

Step-by-step explanation:

Here we have to identify Which of the following represents an equation of a line that has an x-intercept of 8 and a y-intercept of 2 .Let's find out:

A) x+4y=8

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ $x+4y=8$

⇒ $x+4(0)=8$

⇒ $x=8$

Let's  check if line has an y-intercept of 2 i.e. at x=0 value of y is 2 :

⇒ $x+4y=8$

⇒ $0+4(y)=8$

⇒ $y=2$

Hence , Correct option!

B) x=(-.25y+2)

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ $x=(-.25y+2)$

⇒ $x=(-.25(0)+2)$

⇒ $x=2$

Incorrect option!

C) 4x+y=2

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ $4x+y=2$

⇒ $4x+0=2$

⇒ $x=\frac{1}{2}$

Incorrect option!

D) y=-4x+8

Let's check if line has an x-intercept of 8 i.e. at y=0 value of x is 8 :

⇒ $y=-4x+8$

⇒ $0=-4x+8$

⇒ $x=2$

Incorrect option!

Answer 2

Answer:D) y=-4x+8

Step-by-step explanation: